Lombardi G., Rebaudo R.
matrici ad albero
A class of bordered diagonal matrices, here called tree-matrices, is investigated. For any such matrix, a similar matrix is found in the class of diagonal matrix modified by a matrix of rank one, and viceversa. A Sturm sequence for the characteristic equation is found for real symmetric tree-matrices. Some of previous results are extended to k-tree matrices and the Woodbury formula is used to find the inverse. In addition, examples are given to be used as test matrices.
@misc{oai:it.cnr:prodotti:420922,
title = {Matrici ad albero},
author = {Lombardi G. and Rebaudo R.},
year = {1983}
}